Least Common Multiple of 7362 and 7368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7362 and 7368 the smallest integer that is 9040536 that is divisible by both numbers.

Least Common Multiple (LCM) of 7362 and 7368 is 9040536.

LCM(7362,7368) = 9040536

LCM of 7362 and 7368

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7362 and 7368

LCM of 7362 and 7368 is 9040536

Least common multiple can be found by multiplying the highest exponent prime factors of 7362 and 7368. First we will calculate the prime factors of 7362 and 7368.

Prime Factorization of 7362


2 7362
3 3681
3 1227
409 409
1

Prime factors of 7362 are 2, 3,409. Prime factorization of 7362 in exponential form is:

7362 = 21×32×4091

Prime Factorization of 7368


2 7368
2 3684
2 1842
3 921
307 307
1

Prime factors of 7368 are 2, 3,307. Prime factorization of 7368 in exponential form is:

7368 = 23×31×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 7362 and 7368.

LCM(7362,7368) = 23×32×3071×4091
LCM(7362,7368) = 9040536

Factors of 7362

List of positive integer factors of 7362 that divides 7362 without a remainder.

1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362

Factors of 7368

List of positive integer factors of 7368 that divides 7368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368

Least Common Multiple of 7362 and 7368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7362 and 7368, than apply into the LCM equation.

GCF(7362,7368) = 6
LCM(7362,7368) = ( 7362 × 7368) / 6
LCM(7362,7368) = 54243216 / 6
LCM(7362,7368) = 9040536

Properties of LCM 7362 and 7368

(i) The LCM of 7368 and 7362 is associative

LCM of 7362 and 7368 = LCM of 7368 and 7362

Related Least Common Multiples of 7362

Related Least Common Multiples of 7368

Frequently Asked Questions on LCM of 7362 and 7368

1. What is the LCM of 7362 and 7368?

Answer: LCM of 7362 and 7368 is 9040536.

2. What are the Factors of 7362?

Answer: Factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362. There are 12 integers that are factors of 7362. The greatest factor of 7362 is 7362.

3. What are the Factors of 7368?

Answer: Factors of 7368 are 1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368. There are 16 integers that are factors of 7368. The greatest factor of 7368 is 7368.

4. How to Find the LCM of 7362 and 7368?

Answer:

Least Common Multiple of 7362 and 7368 = 9040536

Step 1: Find the prime factorization of 7362

7362 = 2 x 3 x 3 x 409

Step 2: Find the prime factorization of 7368

7368 = 2 x 2 x 2 x 3 x 307

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 9040536 = 2 x 2 x 2 x 3 x 3 x 307 x 409

Step 4: Therefore, the least common multiple of 7362 and 7368 is 9040536.